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1 /***************************************************************************/
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2 /* */
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3 /* ftcalc.h */
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4 /* */
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5 /* Arithmetic computations (specification). */
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6 /* */
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7 /* Copyright 1996-2001, 2002, 2003, 2004, 2005, 2006, 2008, 2009 by */
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8 /* David Turner, Robert Wilhelm, and Werner Lemberg. */
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9 /* */
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10 /* This file is part of the FreeType project, and may only be used, */
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11 /* modified, and distributed under the terms of the FreeType project */
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12 /* license, LICENSE.TXT. By continuing to use, modify, or distribute */
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13 /* this file you indicate that you have read the license and */
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14 /* understand and accept it fully. */
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15 /* */
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16 /***************************************************************************/
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17
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18
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19 #ifndef __FTCALC_H__
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20 #define __FTCALC_H__
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21
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22
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23 #include <ft2build.h>
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24 #include FT_FREETYPE_H
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25
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26
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27 FT_BEGIN_HEADER
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28
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29
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30 /*************************************************************************/
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31 /* */
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32 /* <Function> */
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33 /* FT_FixedSqrt */
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34 /* */
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35 /* <Description> */
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36 /* Computes the square root of a 16.16 fixed point value. */
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37 /* */
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38 /* <Input> */
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39 /* x :: The value to compute the root for. */
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40 /* */
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41 /* <Return> */
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42 /* The result of `sqrt(x)'. */
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43 /* */
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44 /* <Note> */
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45 /* This function is not very fast. */
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46 /* */
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47 FT_BASE( FT_Int32 )
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48 FT_SqrtFixed( FT_Int32 x );
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49
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50
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51 #ifdef FT_CONFIG_OPTION_OLD_INTERNALS
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52
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53 /*************************************************************************/
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54 /* */
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55 /* <Function> */
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56 /* FT_Sqrt32 */
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57 /* */
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58 /* <Description> */
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59 /* Computes the square root of an Int32 integer (which will be */
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60 /* handled as an unsigned long value). */
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61 /* */
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62 /* <Input> */
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63 /* x :: The value to compute the root for. */
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64 /* */
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65 /* <Return> */
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66 /* The result of `sqrt(x)'. */
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67 /* */
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68 FT_EXPORT( FT_Int32 )
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69 FT_Sqrt32( FT_Int32 x );
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70
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71 #endif /* FT_CONFIG_OPTION_OLD_INTERNALS */
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72
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73
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74 /*************************************************************************/
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75 /* */
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76 /* FT_MulDiv() and FT_MulFix() are declared in freetype.h. */
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77 /* */
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78 /*************************************************************************/
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79
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80
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81 #ifdef TT_USE_BYTECODE_INTERPRETER
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82
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83 /*************************************************************************/
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84 /* */
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85 /* <Function> */
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86 /* FT_MulDiv_No_Round */
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87 /* */
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88 /* <Description> */
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89 /* A very simple function used to perform the computation `(a*b)/c' */
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90 /* (without rounding) with maximal accuracy (it uses a 64-bit */
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91 /* intermediate integer whenever necessary). */
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92 /* */
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93 /* This function isn't necessarily as fast as some processor specific */
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94 /* operations, but is at least completely portable. */
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95 /* */
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96 /* <Input> */
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97 /* a :: The first multiplier. */
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98 /* b :: The second multiplier. */
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99 /* c :: The divisor. */
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100 /* */
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101 /* <Return> */
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102 /* The result of `(a*b)/c'. This function never traps when trying to */
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103 /* divide by zero; it simply returns `MaxInt' or `MinInt' depending */
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104 /* on the signs of `a' and `b'. */
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105 /* */
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106 FT_BASE( FT_Long )
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107 FT_MulDiv_No_Round( FT_Long a,
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108 FT_Long b,
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109 FT_Long c );
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110
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111 #endif /* TT_USE_BYTECODE_INTERPRETER */
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112
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113
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114 /*
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115 * A variant of FT_Matrix_Multiply which scales its result afterwards.
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116 * The idea is that both `a' and `b' are scaled by factors of 10 so that
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117 * the values are as precise as possible to get a correct result during
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118 * the 64bit multiplication. Let `sa' and `sb' be the scaling factors of
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119 * `a' and `b', respectively, then the scaling factor of the result is
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120 * `sa*sb'.
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121 */
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122 FT_BASE( void )
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123 FT_Matrix_Multiply_Scaled( const FT_Matrix* a,
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124 FT_Matrix *b,
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125 FT_Long scaling );
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126
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127
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128 /*
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129 * A variant of FT_Vector_Transform. See comments for
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130 * FT_Matrix_Multiply_Scaled.
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131 */
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132
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133 FT_BASE( void )
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134 FT_Vector_Transform_Scaled( FT_Vector* vector,
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135 const FT_Matrix* matrix,
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136 FT_Long scaling );
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137
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138
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139 /*
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140 * Return -1, 0, or +1, depending on the orientation of a given corner.
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141 * We use the Cartesian coordinate system, with positive vertical values
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142 * going upwards. The function returns +1 if the corner turns to the
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143 * left, -1 to the right, and 0 for undecidable cases.
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144 */
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145 FT_BASE( FT_Int )
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146 ft_corner_orientation( FT_Pos in_x,
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147 FT_Pos in_y,
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148 FT_Pos out_x,
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149 FT_Pos out_y );
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150
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151 /*
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152 * Return TRUE if a corner is flat or nearly flat. This is equivalent to
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153 * saying that the angle difference between the `in' and `out' vectors is
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154 * very small.
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155 */
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156 FT_BASE( FT_Int )
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157 ft_corner_is_flat( FT_Pos in_x,
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158 FT_Pos in_y,
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159 FT_Pos out_x,
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160 FT_Pos out_y );
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161
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162
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163 #define INT_TO_F26DOT6( x ) ( (FT_Long)(x) << 6 )
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164 #define INT_TO_F2DOT14( x ) ( (FT_Long)(x) << 14 )
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165 #define INT_TO_FIXED( x ) ( (FT_Long)(x) << 16 )
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166 #define F2DOT14_TO_FIXED( x ) ( (FT_Long)(x) << 2 )
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167 #define FLOAT_TO_FIXED( x ) ( (FT_Long)( x * 65536.0 ) )
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168 #define FIXED_TO_INT( x ) ( FT_RoundFix( x ) >> 16 )
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169
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170 #define ROUND_F26DOT6( x ) ( x >= 0 ? ( ( (x) + 32 ) & -64 ) \
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171 : ( -( ( 32 - (x) ) & -64 ) ) )
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172
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173
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174 FT_END_HEADER
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175
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176 #endif /* __FTCALC_H__ */
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177
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178
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179 /* END */
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